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<h1 id="sec_name">
<span data-if="hdevelop" style="display:inline;">area_center_points_xld</span><span data-if="c" style="display:none;">area_center_points_xld</span><span data-if="cpp" style="display:none;">AreaCenterPointsXld</span><span data-if="dotnet" style="display:none;">AreaCenterPointsXld</span><span data-if="python" style="display:none;">area_center_points_xld</span> (算子名称)</h1>
<h2>名称</h2>
<p><code><span data-if="hdevelop" style="display:inline;">area_center_points_xld</span><span data-if="c" style="display:none;">area_center_points_xld</span><span data-if="cpp" style="display:none;">AreaCenterPointsXld</span><span data-if="dotnet" style="display:none;">AreaCenterPointsXld</span><span data-if="python" style="display:none;">area_center_points_xld</span></code> — Area and center of gravity (centroid) of contours and polygons
treated as point clouds.</p>
<h2 id="sec_synopsis">参数签名</h2>
<div data-if="hdevelop" style="display:inline;">
<p>
<code><b>area_center_points_xld</b>(<a href="#XLD"><i>XLD</i></a> :  :  : <a href="#Area"><i>Area</i></a>, <a href="#Row"><i>Row</i></a>, <a href="#Column"><i>Column</i></a>)</code></p>
</div>
<div data-if="c" style="display:none;">
<p>
<code>Herror <b>area_center_points_xld</b>(const Hobject <a href="#XLD"><i>XLD</i></a>, double* <a href="#Area"><i>Area</i></a>, double* <a href="#Row"><i>Row</i></a>, double* <a href="#Column"><i>Column</i></a>)</code></p>
<p>
<code>Herror <b>T_area_center_points_xld</b>(const Hobject <a href="#XLD"><i>XLD</i></a>, Htuple* <a href="#Area"><i>Area</i></a>, Htuple* <a href="#Row"><i>Row</i></a>, Htuple* <a href="#Column"><i>Column</i></a>)</code></p>
</div>
<div data-if="cpp" style="display:none;">
<p>
<code>void <b>AreaCenterPointsXld</b>(const HObject&amp; <a href="#XLD"><i>XLD</i></a>, HTuple* <a href="#Area"><i>Area</i></a>, HTuple* <a href="#Row"><i>Row</i></a>, HTuple* <a href="#Column"><i>Column</i></a>)</code></p>
<p>
<code><a href="HTuple.html">HTuple</a> <a href="HXLD.html">HXLD</a>::<b>AreaCenterPointsXld</b>(HTuple* <a href="#Row"><i>Row</i></a>, HTuple* <a href="#Column"><i>Column</i></a>) const</code></p>
<p>
<code>double <a href="HXLD.html">HXLD</a>::<b>AreaCenterPointsXld</b>(double* <a href="#Row"><i>Row</i></a>, double* <a href="#Column"><i>Column</i></a>) const</code></p>
</div>
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<div data-if="dotnet" style="display:none;">
<p>
<code>static void <a href="HOperatorSet.html">HOperatorSet</a>.<b>AreaCenterPointsXld</b>(<a href="HObject.html">HObject</a> <a href="#XLD"><i>XLD</i></a>, out <a href="HTuple.html">HTuple</a> <a href="#Area"><i>area</i></a>, out <a href="HTuple.html">HTuple</a> <a href="#Row"><i>row</i></a>, out <a href="HTuple.html">HTuple</a> <a href="#Column"><i>column</i></a>)</code></p>
<p>
<code><a href="HTuple.html">HTuple</a> <a href="HXLD.html">HXLD</a>.<b>AreaCenterPointsXld</b>(out <a href="HTuple.html">HTuple</a> <a href="#Row"><i>row</i></a>, out <a href="HTuple.html">HTuple</a> <a href="#Column"><i>column</i></a>)</code></p>
<p>
<code>double <a href="HXLD.html">HXLD</a>.<b>AreaCenterPointsXld</b>(out double <a href="#Row"><i>row</i></a>, out double <a href="#Column"><i>column</i></a>)</code></p>
</div>
<div data-if="python" style="display:none;">
<p>
<code>def <b>area_center_points_xld</b>(<a href="#XLD"><i>xld</i></a>: HObject) -&gt; Tuple[Sequence[float], Sequence[float], Sequence[float]]</code></p>
<p>
<code>def <b>area_center_points_xld_s</b>(<a href="#XLD"><i>xld</i></a>: HObject) -&gt; Tuple[float, float, float]</code></p>
</div>
<h2 id="sec_description">描述</h2>
<p><code><span data-if="hdevelop" style="display:inline">area_center_points_xld</span><span data-if="c" style="display:none">area_center_points_xld</span><span data-if="cpp" style="display:none">AreaCenterPointsXld</span><span data-if="com" style="display:none">AreaCenterPointsXld</span><span data-if="dotnet" style="display:none">AreaCenterPointsXld</span><span data-if="python" style="display:none">area_center_points_xld</span></code> calculates the area and center of
gravity (centroid) of the point clouds given by contours or polygons
<a href="#XLD"><i><code><span data-if="hdevelop" style="display:inline">XLD</span><span data-if="c" style="display:none">XLD</span><span data-if="cpp" style="display:none">XLD</span><span data-if="com" style="display:none">XLD</span><span data-if="dotnet" style="display:none">XLD</span><span data-if="python" style="display:none">xld</span></code></i></a> (i.e., the order of the points in the contour or
polygon is not taken into account).  The area corresponds to the
number of points in the point cloud.  The centroid is given by the
arithmetic mean of all points.  If the contour or polygon is closed
(end point = start point), the end point of the contour or polygon is
not taken into account to avoid that it receives twice the weight of
the other points.
</p>
<p><code><span data-if="hdevelop" style="display:inline">area_center_points_xld</span><span data-if="c" style="display:none">area_center_points_xld</span><span data-if="cpp" style="display:none">AreaCenterPointsXld</span><span data-if="com" style="display:none">AreaCenterPointsXld</span><span data-if="dotnet" style="display:none">AreaCenterPointsXld</span><span data-if="python" style="display:none">area_center_points_xld</span></code> should be used if the contour <a href="#XLD"><i><code><span data-if="hdevelop" style="display:inline">XLD</span><span data-if="c" style="display:none">XLD</span><span data-if="cpp" style="display:none">XLD</span><span data-if="com" style="display:none">XLD</span><span data-if="dotnet" style="display:none">XLD</span><span data-if="python" style="display:none">xld</span></code></i></a>
intersects itself or if it is not possible to  close the contour using a line
from end to start point without self-intersection, because in this case
<a href="area_center_xld.html"><code><span data-if="hdevelop" style="display:inline">area_center_xld</span><span data-if="c" style="display:none">area_center_xld</span><span data-if="cpp" style="display:none">AreaCenterXld</span><span data-if="com" style="display:none">AreaCenterXld</span><span data-if="dotnet" style="display:none">AreaCenterXld</span><span data-if="python" style="display:none">area_center_xld</span></code></a> does not produce useful results. To test whether the
contours or polygons intersect themselves,
<a href="test_self_intersection_xld.html"><code><span data-if="hdevelop" style="display:inline">test_self_intersection_xld</span><span data-if="c" style="display:none">test_self_intersection_xld</span><span data-if="cpp" style="display:none">TestSelfIntersectionXld</span><span data-if="com" style="display:none">TestSelfIntersectionXld</span><span data-if="dotnet" style="display:none">TestSelfIntersectionXld</span><span data-if="python" style="display:none">test_self_intersection_xld</span></code></a> can be used.
</p>
<p>If more than one contour or polygon is passed, the results are stored
in tuples in the same order as the respective contours or polygons in
<a href="#XLD"><i><code><span data-if="hdevelop" style="display:inline">XLD</span><span data-if="c" style="display:none">XLD</span><span data-if="cpp" style="display:none">XLD</span><span data-if="com" style="display:none">XLD</span><span data-if="dotnet" style="display:none">XLD</span><span data-if="python" style="display:none">xld</span></code></i></a>.</p>
<h2 id="sec_attention">注意</h2>
<p>Even if the contour or polygon <a href="#XLD"><i><code><span data-if="hdevelop" style="display:inline">XLD</span><span data-if="c" style="display:none">XLD</span><span data-if="cpp" style="display:none">XLD</span><span data-if="com" style="display:none">XLD</span><span data-if="dotnet" style="display:none">XLD</span><span data-if="python" style="display:none">xld</span></code></i></a> is not intersecting itself, the
result of <code><span data-if="hdevelop" style="display:inline">area_center_points_xld</span><span data-if="c" style="display:none">area_center_points_xld</span><span data-if="cpp" style="display:none">AreaCenterPointsXld</span><span data-if="com" style="display:none">AreaCenterPointsXld</span><span data-if="dotnet" style="display:none">AreaCenterPointsXld</span><span data-if="python" style="display:none">area_center_points_xld</span></code> significantly differs from the
result of <a href="area_center_xld.html"><code><span data-if="hdevelop" style="display:inline">area_center_xld</span><span data-if="c" style="display:none">area_center_xld</span><span data-if="cpp" style="display:none">AreaCenterXld</span><span data-if="com" style="display:none">AreaCenterXld</span><span data-if="dotnet" style="display:none">AreaCenterXld</span><span data-if="python" style="display:none">area_center_xld</span></code></a> as it is calculated from the point cloud
and not from the enclosed region. </p>
<h2 id="sec_execution">运行信息</h2>
<ul>
  <li>多线程类型:可重入(与非独占操作符并行运行)。</li>
<li>多线程作用域:全局(可以从任何线程调用)。</li>
  
    <li>在元组级别自动并行化。</li>
  
</ul>
<h2 id="sec_parameters">参数表</h2>
  <div class="par">
<div class="parhead">
<span id="XLD" class="parname"><b><code><span data-if="hdevelop" style="display:inline">XLD</span><span data-if="c" style="display:none">XLD</span><span data-if="cpp" style="display:none">XLD</span><span data-if="com" style="display:none">XLD</span><span data-if="dotnet" style="display:none">XLD</span><span data-if="python" style="display:none">xld</span></code></b> (input_object)  </span><span>xld(-array) <code>→</code> <span data-if="hdevelop" style="display:inline">object</span><span data-if="dotnet" style="display:none"><a href="HXLD.html">HXLD</a></span><span data-if="python" style="display:none">HObject</span><span data-if="cpp" style="display:none"><a href="HXLD.html">HXLD</a></span><span data-if="c" style="display:none">Hobject</span></span>
</div>
<p class="pardesc">Point clouds to be examined in form of contours or
polygons.</p>
</div>
  <div class="par">
<div class="parhead">
<span id="Area" class="parname"><b><code><span data-if="hdevelop" style="display:inline">Area</span><span data-if="c" style="display:none">Area</span><span data-if="cpp" style="display:none">Area</span><span data-if="com" style="display:none">Area</span><span data-if="dotnet" style="display:none">area</span><span data-if="python" style="display:none">area</span></code></b> (output_control)  </span><span>real(-array) <code>→</code> <span data-if="dotnet" style="display:none"><a href="HTuple.html">HTuple</a></span><span data-if="python" style="display:none">Sequence[float]</span><span data-if="cpp" style="display:none"><a href="HTuple.html">HTuple</a></span><span data-if="c" style="display:none">Htuple</span><span data-if="hdevelop" style="display:inline"> (real)</span><span data-if="dotnet" style="display:none"> (<i>double</i>)</span><span data-if="cpp" style="display:none"> (<i>double</i>)</span><span data-if="c" style="display:none"> (<i>double</i>)</span></span>
</div>
<p class="pardesc">Area of the point cloud.</p>
</div>
  <div class="par">
<div class="parhead">
<span id="Row" class="parname"><b><code><span data-if="hdevelop" style="display:inline">Row</span><span data-if="c" style="display:none">Row</span><span data-if="cpp" style="display:none">Row</span><span data-if="com" style="display:none">Row</span><span data-if="dotnet" style="display:none">row</span><span data-if="python" style="display:none">row</span></code></b> (output_control)  </span><span>point.y(-array) <code>→</code> <span data-if="dotnet" style="display:none"><a href="HTuple.html">HTuple</a></span><span data-if="python" style="display:none">Sequence[float]</span><span data-if="cpp" style="display:none"><a href="HTuple.html">HTuple</a></span><span data-if="c" style="display:none">Htuple</span><span data-if="hdevelop" style="display:inline"> (real)</span><span data-if="dotnet" style="display:none"> (<i>double</i>)</span><span data-if="cpp" style="display:none"> (<i>double</i>)</span><span data-if="c" style="display:none"> (<i>double</i>)</span></span>
</div>
<p class="pardesc">Row coordinate of the centroid.</p>
</div>
  <div class="par">
<div class="parhead">
<span id="Column" class="parname"><b><code><span data-if="hdevelop" style="display:inline">Column</span><span data-if="c" style="display:none">Column</span><span data-if="cpp" style="display:none">Column</span><span data-if="com" style="display:none">Column</span><span data-if="dotnet" style="display:none">column</span><span data-if="python" style="display:none">column</span></code></b> (output_control)  </span><span>point.x(-array) <code>→</code> <span data-if="dotnet" style="display:none"><a href="HTuple.html">HTuple</a></span><span data-if="python" style="display:none">Sequence[float]</span><span data-if="cpp" style="display:none"><a href="HTuple.html">HTuple</a></span><span data-if="c" style="display:none">Htuple</span><span data-if="hdevelop" style="display:inline"> (real)</span><span data-if="dotnet" style="display:none"> (<i>double</i>)</span><span data-if="cpp" style="display:none"> (<i>double</i>)</span><span data-if="c" style="display:none"> (<i>double</i>)</span></span>
</div>
<p class="pardesc">Column coordinate of the centroid.</p>
</div>
<h2 id="sec_complexity">Complexity</h2>
<p>Let n be the number of points of the contour or polygon.
Then the run time is O(n).</p>
<h2 id="sec_result">结果</h2>
<p><code><span data-if="hdevelop" style="display:inline">area_center_points_xld</span><span data-if="c" style="display:none">area_center_points_xld</span><span data-if="cpp" style="display:none">AreaCenterPointsXld</span><span data-if="com" style="display:none">AreaCenterPointsXld</span><span data-if="dotnet" style="display:none">AreaCenterPointsXld</span><span data-if="python" style="display:none">area_center_points_xld</span></code> returns <TT>2</TT> (
      <TT>H_MSG_TRUE</TT>)
     if the input is not
empty.  If the input is empty the behavior can be set via
<a href="set_system.html"><code><span data-if="hdevelop" style="display:inline">set_system(::'no_object_result',&lt;Result&gt;:)</span><span data-if="c" style="display:none">set_system("no_object_result",&lt;Result&gt;)</span><span data-if="cpp" style="display:none">SetSystem("no_object_result",&lt;Result&gt;)</span><span data-if="com" style="display:none">SetSystem("no_object_result",&lt;Result&gt;)</span><span data-if="dotnet" style="display:none">SetSystem("no_object_result",&lt;Result&gt;)</span><span data-if="python" style="display:none">set_system("no_object_result",&lt;Result&gt;)</span></code></a>.  If necessary,
an exception is raised.</p>
<h2 id="sec_predecessors">可能的前置算子</h2>
<p>
<code><a href="gen_contours_skeleton_xld.html"><span data-if="hdevelop" style="display:inline">gen_contours_skeleton_xld</span><span data-if="c" style="display:none">gen_contours_skeleton_xld</span><span data-if="cpp" style="display:none">GenContoursSkeletonXld</span><span data-if="com" style="display:none">GenContoursSkeletonXld</span><span data-if="dotnet" style="display:none">GenContoursSkeletonXld</span><span data-if="python" style="display:none">gen_contours_skeleton_xld</span></a></code>, 
<code><a href="smooth_contours_xld.html"><span data-if="hdevelop" style="display:inline">smooth_contours_xld</span><span data-if="c" style="display:none">smooth_contours_xld</span><span data-if="cpp" style="display:none">SmoothContoursXld</span><span data-if="com" style="display:none">SmoothContoursXld</span><span data-if="dotnet" style="display:none">SmoothContoursXld</span><span data-if="python" style="display:none">smooth_contours_xld</span></a></code>, 
<code><a href="gen_polygons_xld.html"><span data-if="hdevelop" style="display:inline">gen_polygons_xld</span><span data-if="c" style="display:none">gen_polygons_xld</span><span data-if="cpp" style="display:none">GenPolygonsXld</span><span data-if="com" style="display:none">GenPolygonsXld</span><span data-if="dotnet" style="display:none">GenPolygonsXld</span><span data-if="python" style="display:none">gen_polygons_xld</span></a></code>
</p>
<h2 id="sec_alternatives">可替代算子</h2>
<p>
<code><a href="area_center_xld.html"><span data-if="hdevelop" style="display:inline">area_center_xld</span><span data-if="c" style="display:none">area_center_xld</span><span data-if="cpp" style="display:none">AreaCenterXld</span><span data-if="com" style="display:none">AreaCenterXld</span><span data-if="dotnet" style="display:none">AreaCenterXld</span><span data-if="python" style="display:none">area_center_xld</span></a></code>
</p>
<h2 id="sec_see">参考其它</h2>
<p>
<code><a href="moments_points_xld.html"><span data-if="hdevelop" style="display:inline">moments_points_xld</span><span data-if="c" style="display:none">moments_points_xld</span><span data-if="cpp" style="display:none">MomentsPointsXld</span><span data-if="com" style="display:none">MomentsPointsXld</span><span data-if="dotnet" style="display:none">MomentsPointsXld</span><span data-if="python" style="display:none">moments_points_xld</span></a></code>, 
<code><a href="moments_any_points_xld.html"><span data-if="hdevelop" style="display:inline">moments_any_points_xld</span><span data-if="c" style="display:none">moments_any_points_xld</span><span data-if="cpp" style="display:none">MomentsAnyPointsXld</span><span data-if="com" style="display:none">MomentsAnyPointsXld</span><span data-if="dotnet" style="display:none">MomentsAnyPointsXld</span><span data-if="python" style="display:none">moments_any_points_xld</span></a></code>, 
<code><a href="area_center.html"><span data-if="hdevelop" style="display:inline">area_center</span><span data-if="c" style="display:none">area_center</span><span data-if="cpp" style="display:none">AreaCenter</span><span data-if="com" style="display:none">AreaCenter</span><span data-if="dotnet" style="display:none">AreaCenter</span><span data-if="python" style="display:none">area_center</span></a></code>, 
<code><a href="moments_region_2nd.html"><span data-if="hdevelop" style="display:inline">moments_region_2nd</span><span data-if="c" style="display:none">moments_region_2nd</span><span data-if="cpp" style="display:none">MomentsRegion2nd</span><span data-if="com" style="display:none">MomentsRegion2nd</span><span data-if="dotnet" style="display:none">MomentsRegion2nd</span><span data-if="python" style="display:none">moments_region_2nd</span></a></code>
</p>
<h2 id="sec_module">模块</h2>
<p>
Foundation</p>
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